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Diffstat (limited to 'math/curfit/cv_b1eval.gx')
-rw-r--r-- | math/curfit/cv_b1eval.gx | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/math/curfit/cv_b1eval.gx b/math/curfit/cv_b1eval.gx new file mode 100644 index 00000000..bd77f0ed --- /dev/null +++ b/math/curfit/cv_b1eval.gx @@ -0,0 +1,110 @@ +# Copyright(c) 1986 Association of Universities for Research in Astronomy Inc. + +# CV_B1LEG -- Procedure to evaluate all the non-zero Legendrefunctions for +# a single point and given order. + +procedure $tcv_b1leg (x, order, k1, k2, basis) + +PIXEL x # array of data points +int order # order of polynomial, order = 1, constant +PIXEL k1, k2 # normalizing constants +PIXEL basis[ARB] # basis functions + +int i +PIXEL ri, xnorm + +begin + basis[1] = PIXEL(1.0) + if (order == 1) + return + + xnorm = (x + k1) * k2 + basis[2] = xnorm + if (order == 2) + return + + do i = 3, order { + ri = i + basis[i] = ((PIXEL(2.0) * ri - PIXEL(3.0)) * xnorm * basis[i-1] - + (ri - PIXEL(2.0)) * basis[i-2]) / (ri - PIXEL(1.0)) + } +end + + +# CV_B1CHEB -- Procedure to evaluate all the non zero Chebyshev function +# for a given x and order. + +procedure $tcv_b1cheb (x, order, k1, k2, basis) + +PIXEL x # number of data points +int order # order of polynomial, 1 is a constant +PIXEL k1, k2 # normalizing constants +PIXEL basis[ARB] # array of basis functions + +int i +PIXEL xnorm + +begin + basis[1] = PIXEL(1.0) + if (order == 1) + return + + xnorm = (x + k1) * k2 + basis[2] = xnorm + if (order == 2) + return + + do i = 3, order + basis[i] = PIXEL(2.0) * xnorm * basis[i-1] - basis[i-2] +end + + +# CV_B1SPLINE1 -- Evaluate all the non-zero spline1 functions for a +# single point. + +procedure $tcv_b1spline1 (x, npieces, k1, k2, basis, left) + +PIXEL x # set of data points +int npieces # number of polynomial pieces minus 1 +PIXEL k1, k2 # normalizing constants +PIXEL basis[ARB] # basis functions +int left # index of the appropriate spline functions + +PIXEL xnorm + +begin + xnorm = (x + k1) * k2 + left = min (int (xnorm), npieces) + + basis[2] = max (PIXEL(0.0), min (PIXEL(1.0), xnorm - left)) + basis[1] = max (PIXEL(0.0), min (PIXEL(1.0), PIXEL(1.0) - basis[2])) +end + + +# CV_B1SPLINE3 -- Procedure to evaluate all the non-zero basis functions +# for a cubic spline. + +procedure $tcv_b1spline3 (x, npieces, k1, k2, basis, left) + +PIXEL x # array of data points +int npieces # number of polynomial pieces +PIXEL k1, k2 # normalizing constants +PIXEL basis[ARB] # array of basis functions +int left # array of indices for first non-zero spline + +PIXEL sx, tx + +begin + sx = (x + k1) * k2 + left = min (int (sx), npieces) + + sx = max (PIXEL(0.0), min (PIXEL(1.0), sx - left)) + tx = max (PIXEL(0.0), min (PIXEL(1.0), PIXEL(1.0) - sx)) + + basis[1] = tx * tx * tx + basis[2] = PIXEL(1.0) + tx * (PIXEL(3.0) + tx * (PIXEL(3.0) - + PIXEL(3.0) * tx)) + basis[3] = PIXEL(1.0) + sx * (PIXEL(3.0) + sx * (PIXEL(3.0) - + PIXEL(3.0) * sx)) + basis[4] = sx * sx * sx +end |